(a) The integral is equal to the area of the triangle; it has height 20 and base 10, so the area is 20*10/2 = 100.
(b) The integral is equal to the area of the semicircle with radius 10. It's also under the horizontal axis, so the area is negative. The semicircle has area
, so the integral is -50π.
(c) First compute

which is the area of the triangle on the right. It has height and base 5, so its area is 25/2.
Then split up the desired integral as

and plug in the integral values you know:

A=pi r^2
= 20.25 pi is the answer
Answer: c
Step-by-step explanation:
ok so it doesn't contain moisten in food
The first term is 2 and the common ratio = -8/2 = -4
S7 = 2 * (-4)^7 - 1
------------- = 6554 answer
-4-1
Answer:
B) 34/48
Step-by-step explanation:
The easiest common denominator to find is the product of the denominators you have.
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The difference is ...

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<em>Additional comment</em>
The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.
5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result
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Using the <em>least common denominator</em> does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.